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Izvestiya of Saratov University. Physics, 2015, Volume 15, Issue 2, Pages 5–17 (Mi isuph228)  

This article is cited in 2 scientific papers (total in 2 papers)

Physics

Chaos in the system of three coupled rotators: from Anosov dynamics to hyperbolic attractor

S. P. Kuznetsovabc

a Saratov Branch of the Institute of Radio Engineering and Electronics
b Saratov State University
c Potstdam University
Full-text PDF (658 kB) Citations (2)
References:
Abstract: The work presents an example of a system with chaotic dynamics built of three rotators by modifying a conservative system with hyperbolic Anosov dynamics. Results of a computational study of chaotic dynamics are considered (portraits of attractors, time dependences of the variables, Lyapunov exponents, and spectra) and good correspondence is observed between the dynamics on the attractor of the proposed system with the reduced model, characterized by the Anosov dynamics at appropriately defined energy.
Keywords: dynamic system, chaos, attractor, hyperbolic dynamics Anosov, rotator, Lyapunov exponent, the self-oscillation.
Funding agency Grant number
Russian Foundation for Basic Research 15-02-02893
Grant of the President of the Russian Federation НШ-1726.2014.2
Document Type: Article
UDC: 517.9
Language: Russian
Citation: S. P. Kuznetsov, “Chaos in the system of three coupled rotators: from Anosov dynamics to hyperbolic attractor”, Izv. Sarat. Univ. Physics, 15:2 (2015), 5–17
Citation in format AMSBIB
\Bibitem{Kuz15}
\by S.~P.~Kuznetsov
\paper Chaos in the system of three coupled rotators: from Anosov dynamics to hyperbolic attractor
\jour Izv. Sarat. Univ. Physics
\yr 2015
\vol 15
\issue 2
\pages 5--17
\mathnet{http://mi.mathnet.ru/isuph228}
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  • https://www.mathnet.ru/eng/isuph228
  • https://www.mathnet.ru/eng/isuph/v15/i2/p5
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Izvestiya of Saratov University. Physics
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